Prime p₀= 955401089294661101 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 34 2 10 2 40 2 34 2 22 2 (?)
a_n: 0 2 30 32 66 68 78 80 120 122 156 158 180 182
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 182
Found by: HenkM
db: batch=76, k=14, 28 34 10 40 34 22

SPT(16)	955399771833529741	0 42 70 88 130 162 180 232 396 448 466 498 540 558 586 628	-1317461131360
SPT(16)	955399992906223031	0 32 56 60 68 72 168 180 188 200 296 300 308 312 336 368	-1096388438070
SPT(16)	955400035891255021	0 30 78 88 90 106 132 160 168 196 222 238 240 250 298 328	-1053403406080
SPT(16)	955400308852101683	0 20 26 36 44 86 140 156 158 174 228 270 278 288 294 314	-780442559418
STPT(10)	955400470603960697	0 2 30 32 42 44 54 56 84 86	-618690700404
STPT(10)	955400983756620221	0 2 6 8 18 20 30 32 36 38	-105538040880
STPT(10)	955401200498599247	0 2 30 32 42 44 54 56 84 86	111203938146
STPT(12)	955401413656399007	0 2 60 62 72 74 102 104 114 116 174 176	324361737906
STPT(10)	955401761902073399	0 2 42 44 90 92 138 140 180 182	672607412298
STPT(10)	955401770246913809	0 2 78 80 120 122 162 164 240 242	680952252708
SPT(16)	955401833137671203	0 8 14 74 78 110 114 126 128 140 144 176 180 240 246 254	743843010102